5,-15,45,-60

To determine whether the sequence \(5, -15, 45, -60\) is arithmetic, geometric, or neither, we need to analyze the relationships between the terms.

1. **Arithmetic Sequence**: A sequence is arithmetic if the difference between consecutive terms is constant.

- First difference: \(-15 - 5 = -20\)
- Second difference: \(45 - (-15) = 60\)
- Third difference: \(-60 - 45 = -105\)

The differences are not constant, so the sequence is not arithmetic.

2. **Geometric Sequence**: A sequence is geometric if the ratio between consecutive terms is constant.

- First ratio: \(-15 / 5 = -3\)
- Second ratio: \(45 / (-15) = -3\)
- Third ratio: \(-60 / 45 = -4/3\)

The ratios are also not constant, so the sequence is not geometric.

Since the sequence is neither arithmetic nor geometric, we conclude that it is **neither**.